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Finding the Third Proportional to 191,936 and 413,031

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Solution

The third proportional to 191,936 and 413,031 is: 888,809.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,936 : 413,031 = 413,031 : x
  2. Step 2: Convert to fraction form
    191,936/413,031 = 413,031/x
  3. Step 3: Cross multiply
    191,936x = 413,031 × 413,031
  4. Step 4: Simplify right side
    191,936x = 170,594,606,961
  5. Step 5: Solve for x
    x = 170,594,606,961/191,936
  6. Step 6: Final answer
    x = 888,809.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.